Question

f f(x) is a linear function and the domain of f(x) is the set of all real numbers, which statement cannot be true?

Answer 1

The graph of f(x) has zero x-intercepts.
The graph of f(x) has exactly one x-intercept.
The graph of f(x) has exactly two x-intercepts.
The graph of f(x) has infinitely many x-intercepts.

Answer 2

Suggested Answer,

0-slope would mean no x-intercepts.
Any slope (+/-) would mean one x-intercept.
No straight line may pass through the x-axis more than once [X]
No straight line can have more than a single solution [X]

I believe in this case the following two statements cannot be true.

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The graph of f(x) has exactly two x-intercepts.
The graph of f(x) has infinitely many x-intercepts.
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Please tell me if I am wrong, or any suggestions & comments would be greatly appreciated!

Answer 3

You were Correct
the answer was in fact
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The graph of f(x) has exactly two x-intercepts.
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Because 0 is considered A "Real Number" So if X=0 it would have Infinite Answers

Thanx =)